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Finding the Fourth Proportional to 694.02, 957.75 and 399.24

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Solution

The fourth proportional to 694.02, 957.75 and 399.24 is: 550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.02 : 957.75 = 399.24 : x
  2. Step 2: Convert to fraction form
    694.02/957.75 = 399.24/x
  3. Step 3: Cross multiply
    694.02x = 957.75 × 399.24
  4. Step 4: Simplify right side
    694.02x = 382,372.11
  5. Step 5: Solve for x
    x = 382,372.11/694.02
  6. Step 6: Final answer
    x = 550.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.